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P, Q and R invested amounts in the ratio 5 : 4: 10 respectively. If P, Q and R invested amounts at compound interest (compounded annually) at the rate of 20 percent per annum, 25 percent per annum and 10 percent per annum respectively, then what will be the ratio of their amounts after 1 year?
1. 9 : 8 : 3
2. 6 : 7 : 11
3. 6 : 5 : 11
4. 6 : 5 : 9

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Correct Answer - Option 3 : 6 : 5 : 11

Given:

Investment amount ratio of P, Q and R respectively = 5 : 4 : 10

Investment rates(compounded annually) of P, Q and R = 20%, 25% and 10%

Calculation:

According to the question,

Let the investments amounts of P, Q and R be 5x, 4x and 10x

Amount after 1 year for P = 5x(1.2) = 6x

Amount after 1 year for Q = 4x(1.25) = 5x

Amount after 1 year for R = 10x(1.1) = 11x

∴ Ratio of amounts after 1 year of P, Q and R = 6 : 5 : 11

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